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Finding the Third Proportional to 407,352 and 894,948

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Solution

The third proportional to 407,352 and 894,948 is: 1,966,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,352 : 894,948 = 894,948 : x
  2. Step 2: Convert to fraction form
    407,352/894,948 = 894,948/x
  3. Step 3: Cross multiply
    407,352x = 894,948 × 894,948
  4. Step 4: Simplify right side
    407,352x = 800,931,922,704
  5. Step 5: Solve for x
    x = 800,931,922,704/407,352
  6. Step 6: Final answer
    x = 1,966,191.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.